I Young's Double Slit Experiment: Is it Possible?

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The discussion centers on the challenges of applying Hamiltonian mechanics to Young's Double Slit Experiment due to the constraints on particle movement through the slits. There is a question about the feasibility of using constrained Hamiltonians in this context, suggesting that H could equal zero under certain conditions. Participants also explore the applicability of Feynman paths when the paths are restricted to a specific surface, such as a four-sphere. The complexities of these theoretical frameworks raise important questions about particle behavior in constrained environments. Overall, the conversation highlights the intricate relationship between quantum mechanics and mathematical formulations in physics.
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I think that it is harder to describe the two slits Young experiment in terms of hamiltonian because the particle has a constraint: to pass through the slits. is it possible?
thanks.
 
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I think that it is harder to describe the two slits Young experiment in terms of hamiltonian because the particle has a constraint: to pass through the slits. is it possible? thanks.
 
How do you describe it without Hamiltonian?
 
my question is about the constrained hamiltonian if it is used. i do not says it does not exist. we may have H=0 with constrained hamiltonians so problems raise.
more generally can we use the feynman paths when the paths are constrained to live on a given surface (say a 4 sphere)
 

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